78355200 has 432 divisors, whose sum is σ = 328478976. Its totient is φ = 15974400.

The previous prime is 78355177. The next prime is 78355219. The reversal of 78355200 is 255387.

It is a happy number.

It is a super-2 number, since 2×78355200² = 12279074734080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478374 + ... + 1478426.

It is an arithmetic number, because the mean of its divisors is an integer number (760368).

Almost surely, 2^78355200 is an apocalyptic number.

78355200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239488).

78355200 is an abundant number, since it is smaller than the sum of its proper divisors (250123776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78355200 is a wasteful number, since it uses less digits than its factorization.

78355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 78355200 is about 8851.8472648369. The cubic root of 78355200 is about 427.9134538373.

The spelling of 78355200 in words is "seventy-eight million, three hundred fifty-five thousand, two hundred".